Analysis of a spatial Lotka-Volterra model with a finite range predator-prey interaction

preprint2012arXivOpen access

Abstract

We perform an analysis of a recent spatial version of the classical Lotka-Volterra model, where a finite scale controls individuals' interaction. We study the behavior of the predator-prey dynamics in physical spaces higher than one, showing how spatial patterns can emerge for some values of the interaction range and of the diffusion parameter.

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